Use the Gauss Seidel method (a) Without relaxation and (b) With relaxation ( 0 95) to solve the following system to a tolerance of S 5 If necessary, rearrange the equations to achieve convergence 3x1 x2 12x3 50 6x1 x2 x3 3 6x1 9x2 x3 40 ...

The equations should first be rearranged so that they are diagonally dominant Each can be solved for ...

Use the Gauss-Seidel method (a) Without relaxation and (b) With relaxation ( = 0.95) to solve the

Question:

Use the Gauss-Seidel method

(a) Without relaxation and

(b) With relaxation (λ = 0.95) to solve the following system to a tolerance of εS = 5%. If necessary, rearrange the equations to achieve convergence.

–3x1 + x2 + 12x3 = 50

6x1 – x2 – x3 = 3

6x1 + 9x2 + x3 = 40

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

See More Books

Question Posted: Nov 17, 2011 11:19 AM

See More Questions

Use an inverse matrix to solve the following system of linear equation, if possible. Justify how you get the inverse x - 2y + 6z 1 x+y + 4z=0 2x y +3z 10
Solve Problem using Gauss-Jordan elimination. 2x1 - x2 = 0 3x1 + 2x2 = 7 x1 - x2 = -2
Use Newton's method to solve x2 = 0 (the solution is 0). Why does it approach the solution so slowly? As mentioned in the text, although Newton's method works incredibly well most of the time, it can...
The McGraw Company is accumulating data to be used in preparing its annual profit plan for the coming year. The cost behavior pattern of the maintenance costs must be determined. The accounting staff...
The Carpenter Company sells sports decals that can be personalized with a player's name, team name, and jersey number for $10 each. Carpenter buys the decals from a supplier for $3 each and spends an...
(a) Use the Product-to-Sum Formulas to express product as a sum, (b) Use the method of adding y-coordinates to graph the function on the interval [0, 2]. h(x) = cos(2x) cos(x)
Use Google Advanced Patent Search to determine the number of skin care-related patents owned by the following cosmetic companies: (a) Avon (b) Kanebo (c) L'Oreal (d) Revlon (e) Shiseido
A guest in a motel opened the bedroom window at night and went to sleep. During the night, a prowler pried open the screen, entered the room, and stole property of the guest. The guest sued the...
Gnosis is an international freight software company, based in Charleston, South Carolina, USA. Their specialty is shipping "visibility," which enables firms to determine where their shipping...
The Gidget Company makes widgets. If the production process is working properly, it turns out that the widgets are normally distributed with a mean length of at least 3.43.4 feet. Larger widgets can...
Use the Gauss-Seidel method to solve the following system until the percent relative error falls below S = 5%, 10x1 + 2x2 x3 = 27 3x1 6x2 + 2x3 = 61.5 x1 + x2 + 5x3 = 21.5
Use the Gauss-Seidel method (a) Without relaxation and (b) With relaxation ( = 1.2) to solve the following system to a tolerance of S = 5%. If necessary, rearrange the equations to achieve...
Research the origins of complex numbers. Write a paragraph describing what you find, and present it to the class.
If you own a $1,000 face value bond selling for $1,500 and convertible into 100 shares of stock selling for $13, then ceteris paribus, with no change in the stock price, the lowest the bond price...
A corporation plans to issue preferred stock. Per year dividend amount is $10 and the preferred stock is currently selling for $105. in the market. The firm needs to pay 5% flotation costs. What is...
Marcus has a time-share property near a seashore in coastal region of France, which is insured for 250,000 under a commercial property insurance policy. The policy contains an 77 percent coinsurance...
Explain how you would solve a triangle given two sides and the included angle.
Galstack Inc. is a Canadian stock that is listed on the TSX and the NYSE. The NYSE price of Galstack Inc. (Ticker GAL) is $1.75 USD and the TSX price of Galstack Inc. (Ticker GAL.TO) is $2.30 CAD....
What are external loss data? How are they obtained? How are they used in determining operational risk loss distributions for a bank?
Read the case study Richter: Information Technology at Hungarys Largest Pharma and answer the following question: How does the organization ensure the accuracy of the data it stores?
An insurance company provides buildings and contents insurance to its policyholders.We use X to denote the random variable for annual claims under buildings insurance and Y to denote annual claims...
Continuation of Exercise 4-88. (a) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? (b) Determine the length of an interval of...
The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes. (a) What is the probability that there are more than three calls in one-half hour? (b) What is the...
Continuation of Exercise 4-90. (a) What is the probability that there are no calls within a two-hour interval? (b) If four non-overlapping one-half hour intervals are selected, what is the...
The Kuwait Finance House (KFH) had the following transactions during the month of July 2015: 1) A customer withdraws KD 4,000 in cash from his saving account. 2) A customer deposited KD 7,000 to his...
4) Soundproofing in a studio reduces ambient noise from 41 dB to 30 dB. What percent of the ambient sound intensity is still making it through? Round your answer to the nearest 1%.
Following are the financial data for Binari Jaya Sdn Bhd as at 3 1 December 2 0 2 2 . Revenue (Sales) RM 1, 370, 100 Account Receivable RM 540, 000 Long Term Loan RM 690, 000 Cost of goods sold RM...

Use the Gauss-Seidel method (a) Without relaxation and (b) With relaxation ( = 0.95) to solve the

Question:

Step by Step Answer:

The equations should first be rearranged so that they are diagonally dominant Each can be solved for ...View the full answer

Numerical Methods For Engineers

Students also viewed these Numerical Analysis questions